Answer:
3 + 4i
Step-by-step explanation:
Answer:
The equation of the boundary of the region is (x+2)² + (y-1)² = 25
Step-by-step explanation:
The satellite is positioned at (-2,1) and can sense the presence within 5 miles of its position.
The boundary of the region is a circle with center (-2,1) and radius 5.
The equation of the circle with center (h,k) and radius r is given by
(x-h)²+(y-k)²=r²
The equation of the circle with center (-2,1) and radius 5 is given by
(x+2)²+(y-1)²=5²=25
(x+2)² + (y-1)² = 25 is the required equation of the boundary of the region.
Answer:
x = 25
y = 21
Step-by-step explanation:
4x + 10 + 3x - 5 = 180° because these two angles makes a straight line
7x + 5 = 180° subtract 5 from both sides
7x = 175° divide by 7
x = 25
2y + 28 + 4y + 26 = 180° because the sum of these angles is equal to a straight line's measure
6y + 54 = 180° subtract 54 from both sides
6y = 126 divide both sides by 6
y = 21
Answer:
both measured would be 25 and 19
Step-by-step explanation:
For question 2, the answer is 120 cm^2
The formula is SA = b + 1/2 ps
p = perimeter
s = slant height
this is a square, so all the sides are equal. So 6 cm x 4 = 24 cm, this is the perimeter of the base.
then multiply this by the slant height, and you get 192.
192 x 1/2 = 96.
96 + 24 (the area of the base) = 120.
120 = 24 + (1/2 x 24 x 8)